For each numbered line that is not a premise in each of the formal proofs that follow state the rule of inference/replacement that justifies it. 1. (T · (Uɔ V)) 2. (T ɔ (U ɔ (W ·X))) 3. ((T · V) ɔ ~ (W v X)) .: (W = X) 4. ((T · U) ɔ (W·X)) 5. (T · V) Ɔ (~ W · ~ X)) 6. ((T · U) Ɔ (W · X))·((T- V) ɔ (~W. ~ X)) 7. (T · U v (T . V)) 8. ((W · X) V (~ W v ~ X) 9. (W = X) Prompts Submitted Answers How did we arrive with line number 4? 2. Exportation How did we arrive with line number 5? 3, De Morgan's Theorem How did we arrive with line number 6? Choose a match How did we arrive with line number 7? 1, Distribution How did we arrive with line number 8? 6, 7, Constructive Dilemma How did we arrive with line number 9? 8, Material Equivalence

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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For each numbered line that is not a premise in each of the formal proofs that follow state the rule of inference/replacement that
justifies it.
( (V T-) כ(U.1
.( ( (WX) כ T) (U.2
3. ( (T · V) ɔ ~ (W v X))
.. (W = X)
4. ((T · U) ɔ (W ·X))
5. (T · V) ɔ ( ~ W. ~ X))
6. ((T · U) ɔ (W. X)) · ((T · V) ɔ (~ W. ~ X))
7. (T· U V (T · V))
8. ((W · X) v (~ W v ~ X)
9. (W = X)
Prompts
Submitted Answers
How did we arrive with line number 4?
Exportation
How did we arrive with line number 5?
3, De Morgan's Theorem
How did we arrive with line number 6?
Choose a match
How did we arrive with line number 7?
1, Distribution
How did we arrive with line number 8?
6, 7, Constructive Dilemma
How did we arrive with line number 9?
8, Material Equivalence
Transcribed Image Text:For each numbered line that is not a premise in each of the formal proofs that follow state the rule of inference/replacement that justifies it. ( (V T-) כ(U.1 .( ( (WX) כ T) (U.2 3. ( (T · V) ɔ ~ (W v X)) .. (W = X) 4. ((T · U) ɔ (W ·X)) 5. (T · V) ɔ ( ~ W. ~ X)) 6. ((T · U) ɔ (W. X)) · ((T · V) ɔ (~ W. ~ X)) 7. (T· U V (T · V)) 8. ((W · X) v (~ W v ~ X) 9. (W = X) Prompts Submitted Answers How did we arrive with line number 4? Exportation How did we arrive with line number 5? 3, De Morgan's Theorem How did we arrive with line number 6? Choose a match How did we arrive with line number 7? 1, Distribution How did we arrive with line number 8? 6, 7, Constructive Dilemma How did we arrive with line number 9? 8, Material Equivalence
8, Material Equivalence
1, Distribution
O 4, 6 Addition
O 2, Simplification
2, Tautology
1, Absorption
3, Transposition
2, Exportation
6, 7, Constructive Dilemma
3, De Morgan's Theorem
8, 5, Hypothetical Syllogism
4, 5, Constructive Dilemma
Transcribed Image Text:8, Material Equivalence 1, Distribution O 4, 6 Addition O 2, Simplification 2, Tautology 1, Absorption 3, Transposition 2, Exportation 6, 7, Constructive Dilemma 3, De Morgan's Theorem 8, 5, Hypothetical Syllogism 4, 5, Constructive Dilemma
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